Diameter of Semicircle Calculator
Free Semicircle Diameter Calculator is available on this page. People who are searching for the excellent tool that calculates the diameter of a semicircle have come to the correct place. By using the online calculator provided over here, you can easily find the semicircle diameter in fraction of seconds. You just have to provide the input as semicircle area and press on the calculate button to check the detailed & accurate result.
Along with this Semicircle Diameter Calculator, you will also get the definition, formula, and step by step manual explanation to solve the semicircle diameter on this article. Follow the steps and have a look at the example questions to get a clarity on the concept.
Diameter of a Semicircle Formula
The basic formulae to compute the diameter of a semicircle are given here. You must use any one of these formula to get the semicircle diameter depending upon the requirement.
- If radius of semicircle is known, then diameter = radius / 2
- If area of semicircle is known, then diameter = √((8 * area / π)
- If perimeter of a semicircle is known, then diameter = (2 * perimeter) / (π + 2)
Process to calculate Diameter of a Semicircle
Semicircle is defined as the half of the circle. Get the simple steps to evaluate the diameter of a semicircle in the following sections.
- Let us take the area of a semicircle and its units.
- The formula to compute the semicircle diameter is d = √((8 * a) / π)). Where a is area of the semicircle.
- Substitute the area, π values in the formula.
- Do the further math calculations to get the exact result.
- Mention the result with units as the diameter of semicircle.
Examples of Finding the Diameter of Semicircle
Example 1: Find the diameter of a semicircle. If the area of semicircle is 25 cm2?
Solution:
Given that,
Area of semicircle a = 25 cm2
Diameter of semicircle d = √((8 * a) / π))
Put area, π in the above formula.
d = √((8 * 25) / 3.14)
= √(200 / 3.14)
= √63.69
= 7.98
∴ Diameter of semicircle of area 25 cm^2 is 7.98 cm.
Example 2: Compute the semicircle diameter, if perimeter of the semicircle is 32 cm?
Solution:
Given that,
Perimeter of semicircle p = 32 cm
Semicircle diameter d = (2 * p) / (π + 2)
= (2 * 32) / (3.14 + 2)
= 64 / 5.14
= 12.45
∴ Semicircle diameter is 12.45 cm.
Areavolumecalculator.com offers a wealth of smart calculators regarding volume, perimeter, area, surface area, and etc. for each and every geometric shapes to assist you during your assignments and homework.
Frequently Asked Questions on Semicircle Diameter
1. How do you work out the diameter of a semicircle?
In simple words, diameter is obtained by doubling the radius. Diameter is the longest line that joins two edges of a semicircle. The simple and easy step to find the semicircle diameter is provided on this page.
2. Is half of a diameter of semicircle is radius & why?
Yes, half of the semicircle diameter is called radius of the semicircle. Because, radius is also the length of a line that joins point on the semicircle and its center. So, by definition we can say that diameter is double the radius.
3. How do you find the diameter of a semicircle using its perimeter?
We know that perimeter of semicircle = (π + 2) * radius
radius = diameter / 2
p = (π + 2) * diameter / 2
2 * perimeter = (π + 2) * diameter
diameter = (2 * perimeter) / (π + 2)
4. Calculate diameter, if radius of the semicircle is 5 cm?
Diameter = 2 * radius
= 2 * 5
Diameter of semicircle = 10 cm.